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Research Papers: Multiphase Flows

Drift-Flux Correlation of Oil–Water Flow in Horizontal Channels

[+] Author and Article Information
Somchai Baotong, Sunchai Nilsuwankosit

Department of Nuclear Engineering,
Faculty of Engineering,
Chulalongkorn University,
Wangmai, Patumwan,
Bangkok 10330, Thailand

Somboon Rassame

Department of Nuclear Engineering,
Faculty of Engineering,
Chulalongkorn University,
Wangmai, Patumwan,
Bangkok 10330, Thailand
e-mail: somboon.ra@chula.ac.th

Takashi Hibiki

School of Nuclear Engineering,
Purdue University,
400 Central Drive,
West Lafayette, IN 47907-2017

1Corresponding author.

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received August 17, 2017; final manuscript received July 26, 2018; published online September 10, 2018. Assoc. Editor: Oleg Schilling.

J. Fluids Eng 141(3), 031301 (Sep 10, 2018) (11 pages) Paper No: FE-17-1506; doi: 10.1115/1.4041065 History: Received August 17, 2017; Revised July 26, 2018

An accurate and practical approach is necessary for predicting oil fraction in horizontal oil–water flows. In this study, a concept of a drift-flux model is adopted to develop a predictive method for the oil fraction in the horizontal oil–water flows due to its simplicity and practicality. A new drift-flux correlation for the horizontal oil–water flows is developed based on the least square method using collected experimental data. The distribution parameter is determined to be 1.05 for the data with the ratio of oil density to water density ranging from 0.787 to 1.00, whereas the oil fraction weighted mean drift velocity is set at 0 m/s due to the flow direction perpendicular to the gravity direction. The physical meaning for the order of unity of the distribution parameter is explained by introducing a simple model. The predictive capability of the new drift-flux correlation is examined using the collected database of oil–water flows in horizontal pipes under a variety of test conditions. It is demonstrated that the new drift-flux correlation can predict the existing oil fractions in the horizontal pipe channels with the mean absolute error, standard deviation, mean relative deviation, and mean absolute relative deviation being −0.0124, 0.0338, −3.25%, and 9.57%, respectively.

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References

Sharma, A. , Al-Sarkhi, A. , Sarica, C. , and Zhang, H. Q. , 2011, “ Modeling of Oil-Water Flow Using Energy Minimization Concept,” Int. J. Multiphase Flow, 37(4), pp. 326–335. [CrossRef]
Charles, M. E. , Govier, G. W. , and Hodgson, G. W. , 1961, “ The Horizontal Pipeline Flow of Equal Density Oil-Water Mixtures,” Can. J. Chem. Eng., 39(1), pp. 27–36. [CrossRef]
Trallero, J. L. , 1995, “ Oil-Water Flow Patterns in Horizontal Pipe,” Ph.D. dissertation, The University of Tulsa, Tulsa, OK.
Trallero, J. L. , Sarica, C. , and Brill, J. P. , 1997, “ A Study of Oil/Water Flow Patterns in Horizontal Pipes,” SPE Prod. Facil., 12(03), pp. 165–172. [CrossRef]
Brauner, N. , and Moalem Maron, D. , 1992, “ Flow Pattern Transitions in Two-Phase Liquid-Liquid Flow in Horizontal Tubes,” Int. J. Multiphase Flow, 18(1), pp. 123–140. [CrossRef]
Brauner, N. , Maron, D. M. , and Rovinsky, J. , 1998, “ A Two-Fluid Model for Stratified Flows With Curved Interfaces,” Int. J. Multiphase Flow, 24(6), pp. 975–1004. [CrossRef]
Angeli, P. , and Hewitt, G. F. , 2000, “ Flow Structure in Horizontal Oil-Water Flow,” Int. J. Multiphase Flow, 26(7), pp. 1117–1140. [CrossRef]
Dasari, A. , Desamala, A. B. , Ghosh, U. K. , Dasmahapatra, A. K. , and Mandal, T. K. , 2014, “ Correlations for Prediction of Pressure Gradient of Liquid-Liquid Flow Through a Circular Horizontal Pipe,” ASME J. Fluids Eng., 136(7), p. 071302.
Zuber, N. , and Findlay, J. A. , 1965, “ Average Volumetric Concentration in Two-Phase Flow Systems,” ASME J. Heat Transfer, 87(4), pp. 453–468. [CrossRef]
Al-Wahaibi, T. , Al-Wahaibi, Y. , Al-Ajmi, A. , Al-Hajri, R. , Yusuf, N. , Olawale, A. S. , and Mohammed, I. A. , 2014, “ Experimental Investigation on Flow Patterns and Pressure Gradient Through Two Pipe Diameters in Horizontal Oil-Water Flows,” J. Petrol. Sci. Eng., 122, pp. 266–273. [CrossRef]
Colombo, L. P. M. , Guilizzoni, M. , Sotgia, G. M. , and Marzorati, D. , 2015, “ Influence of Sudden Contractions on In Situ Volume Fractions for Oil-Water Flows in Horizontal Pipes,” Int. J. Heat Fluid Flow, 53, pp. 91–97. [CrossRef]
Dong, X. , Tan, C. , Yuan, Y. , and Dong, F. , 2016, “ Measuring Oil-Water Two-Phase Flow Velocity With Continuous-Wave Ultrasound Doppler Sensor and Drift-Flux Model,” IEEE Trans. Instrum. Meas, 65(5), pp. 1098–1107. [CrossRef]
Shi, X. , Dong, X. , Tan, C. , and Dong, F. , 2016, “ Flow Velocity Measurement Based on Ultrasonic Cross-Correlation Technique in Oil-Water Two-Phase Flow,” 35th Chinese Control Conference, Chengdu, China, July 27–29, pp. 4921–4925.
Fujii, T. , Ohta, J. , Nakazawa, T. , and Morimoto, O. , 1994, “ The Behavior of an Immiscible Equal-Density Liquid-Liquid Two-Phase Flow in a Horizontal Tube,” JSME Int. J, 37(1), pp. 22–29. [CrossRef]
Xu, J. , Wu, Y. , Chang, Y. , and Guo, J. , 2008, “ Experimental Investigation on the Holdup Distribution of Oil-Water Two-Phase Flow in Horizontal Parallel Tubes,” Chem. Eng. Technol., 31(10), pp. 1536–1540. [CrossRef]
Li, D. , and Xu, J. , 2015, “ Measurement of Oil-Water Flow Via the Correlation of Turbine Flow Meter, Gamma Ray Densitometry and Drift-Flux Model,” J. Hydrodyn, 27(4), pp. 548–555. [CrossRef]
Ishii, M. , and Hibiki, T. , 2011, Thermo-Fluid Dynamics of Two-Phase Flow, 2nd ed., Springer, New York.
Russell, T. W. F. , Hodgson, G. W. , and Govier, G. W. , 1959, “ Horizontal Pipeline Flow of Mixtures of Oil and Water,” Can. J. Chem. Eng., 37(1), pp. 9–17. [CrossRef]
Lovick, J. , and Angeli, P. , 2004, “ Experimental Studies on the Dual Continuous Flow Pattern in Oil-Water Flows,” Int. J. Multiphase Flow, 30(2), pp. 139–157. [CrossRef]
Abduvayt, P. , Manabe, R. , Watanabe, T. , and Arihara, N. , 2004, “ Analysis of Oil-Water Flow Tests in Horizontal, Hilly-Terrain, and Vertical Pipes,” SPE Annual Technical Conference and Exhibition, pp. 1–13.
Raj, T. S. , Chakrabarti, D. P. , and Das, G. , 2005, “ Liquid-Liquid Stratified Flow Through Horizontal Conduits,” Chem. Eng. Tech., 28(8), pp. 899–907. [CrossRef]
Vielma, M. , Atmaca, S. , Sarica, C. , and Zhang, H. , 2008, “ Characterization of Oil/Water Flows in Horizontal Pipes,” SPE Proj. Facil. and Constr., 3(4), pp. 1–21. [CrossRef]
Liu, Y. , Zhang, H. , Wang, S. , and Wang, J. , 2009, “ Prediction of Pressure Gradient and Holdup in Horizontal Liquid–Liquid Segregated Flow With Small Eötvös Number,” Chem. Eng. Commun., 196(6), pp. 697–714. [CrossRef]
Xu, M. , Xiong, R. H. , Li, Y. F. , Yang, J. M. , Luo, X. , Yu, Y. B. , and Zhao, T. Z. , 2010, “ Pattern Transition and Holdup Behaviors of Horizontal Oil-Water Pipe Flow,” 7th International Conference on Multiphase Flow, pp. 1–6.
Rodriguez, I. H. , Yamaguti, H. K. B. , de Castro, M. S. , Da Silva, M. J. , and Rodriguez, O. M. H. , 2011, “ Slip Ratio in Dispersed Viscous Oil-Water Pipe Flow,” Exp. Therm. Fluid Sci., 35(1), pp. 11–19. [CrossRef]
Rodriguez, O. M. H. , and Baldani, L. S. , 2012, “ Prediction of Pressure Gradient and Holdup in Wavy Stratified Liquid – Liquid Inclined Pipe Flow,” J. Petrol. Sci. Eng., 96–97, pp. 140–151. [CrossRef]
Onuoha, M. D. U. , Ismail, I. , Ismail, A. S. , and Mansorm, F. , 2016, “ Experimental Determination of Flow Patterns and Water Holdup of Low Viscosity Oil-Water System in Horizontal Pipes,” Sains Malaysiana, 45(11), pp. 1635–1640. http://www.ukm.my/jsm/pdf_files/SM-PDF-45-11-2016/07%20M.D.U%20Onuoha.pdf
Hibiki, T. , and Ishii, M. , 2003, “ One-Dimensional Drift–Flux Model for Two-Phase Flow in a Large Diameter Pipe,” Int. J. Heat Mass Transfer, 46(10), pp. 1773–1790. [CrossRef]
Hibiki, T. , Mao, K. , and Ozaki, T. , 2017, “ Development of Void Fraction-Quality Correlation for Two-Phase Flow in Horizontal and Vertical Tube Bundles,” Prog. Nucl. Energy, 97, pp. 38–52. [CrossRef]
Ishii, M. , 1977, “ One-Dimensional Drift Flux Model and Constitutive Equations for Relative Motion Between Phases in Various Two-Phase Flow Regimes,” Argonne National Laboratory, Lemont, Illinois, Report No. ANL-77-47. https://www.osti.gov/biblio/6871478-one-dimensional-drift-flux-model-constitutive-equations-relative-motion-between-phases-various-two-phase-flow-regimes

Figures

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Fig. 1

Flow conditions of collected data in the plane of oil fraction versus total mass flux

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Fig. 2

Oil–water two-phase flow regimes defined by Trallero [3]

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Fig. 3

Flow conditions of collected data in the plane of superficial oil velocity versus superficial water velocity

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Fig. 7

Drift-flux plot for each flow regime in horizontal oil–water flows (a) ST, (b) ST&MI, (c) D O/W and W, (d) D O/W&W/O, (e) D O/W, and (f) D W/O flow regime

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Fig. 8

Comparison of new drift-flux correlation with the correlation of Fujii et al. [10]

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Fig. 6

Drift-flux plot for horizontal oil–water flows

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Fig. 5

Calculated distribution parameter for stratified oil–water flow

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Fig. 4

Schematic diagram of modeled stratified oil–water flow between two infinite parallel plates

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